Examples

x2-5x+6 , x+6
Step 1
Divide the first expression by the second expression.
x2-5x+6x+6
Step 2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x+6x2-5x+6
Step 3
Divide the highest order term in the dividend x2 by the highest order term in divisor x.
x
x+6x2-5x+6
Step 4
Multiply the new quotient term by the divisor.
x
x+6x2-5x+6
+x2+6x
Step 5
The expression needs to be subtracted from the dividend, so change all the signs in x2+6x
x
x+6x2-5x+6
-x2-6x
Step 6
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
x+6x2-5x+6
-x2-6x
-11x
Step 7
Pull the next terms from the original dividend down into the current dividend.
x
x+6x2-5x+6
-x2-6x
-11x+6
Step 8
Divide the highest order term in the dividend -11x by the highest order term in divisor x.
x-11
x+6x2-5x+6
-x2-6x
-11x+6
Step 9
Multiply the new quotient term by the divisor.
x-11
x+6x2-5x+6
-x2-6x
-11x+6
-11x-66
Step 10
The expression needs to be subtracted from the dividend, so change all the signs in -11x-66
x-11
x+6x2-5x+6
-x2-6x
-11x+6
+11x+66
Step 11
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x-11
x+6x2-5x+6
-x2-6x
-11x+6
+11x+66
+72
Step 12
The final answer is the quotient plus the remainder over the divisor.
x-11+72x+6
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 [x2  12  π  xdx ] 
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